After riding on the bus, Tran walked 30 minutes to get to her friends house. Her total travel time was 4 times as long as the bus ride. What equation does this situation model? Use t for the time of the bus ride.

Answer 1

To model the situation, we need to express the total travel time in terms of \( t \), where \( t \) represents the time of the bus ride.

According to the problem:

1. Tran's walk to her friend's house takes 30 minutes.
2. Her total travel time is 4 times the time of the bus ride.

The total travel time can be expressed as the sum of the time spent on the bus (\( t \)) and the time spent walking (30 minutes).

Therefore, the equation modeling this situation is:

\[ t + 30 = 4t \]

This equation states that the time spent on the bus plus the 30 minutes walking is equal to 4 times the bus ride time.

Answer 2

you sure

Answer 3

Let's break down the problem step-by-step to ensure the equation is correct.

1. Let \( t \) be the time of the bus ride in minutes.
2. Tran walks for 30 minutes to her friend's house.
3. The total travel time, therefore, consists of the bus ride time \( t \) plus the walking time of 30 minutes.

The problem states that Tran's total travel time is 4 times as long as the bus ride. We can express this as:

\[ \text{Total travel time} = \text{bus ride time} + \text{walking time} \]

So we can write:

\[ t + 30 = \text{Total travel time} \]

And since the total travel time is also given as \( 4t \):

\[ t + 30 = 4t \]

This equation is indeed correct. Now performing some steps to verify:

1. Rearranging the equation: \[ 30 = 4t - t \] \[ 30 = 3t \] \[ t = 10 \]

This means the bus ride time (\( t \)) is 10 minutes, making the total travel time \( 4 \times 10 = 40 \) minutes, which, when including the 30-minute walk, adds up correctly (10 minutes on the bus + 30 minutes walking = 40 minutes total).

So the equation \( t + 30 = 4t \) is indeed correct. Thank you for checking!